Computation of 1-D shock structure using nonlinear coupled constitutive relations and generalized hydrodynamic equations

Zhao, Wenwen; Jiang, Zhongzheng; Chen, Weifang

doi:10.1063/1.4967638

Cited by 3 publications

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finally, a nonlinear algebraic system of the second-order nonlinear model, namely the nonlinear coupled constitutive relations (NCCR), is developed. In our recent work [24], the insignificant effect from this term  Qu has also been validated. The diatomic NCCR model can be summarized below as…”

Section: The Diatomic Nonlinear Constitutive Modelmentioning

confidence: 62%

“…The diatomic nonlinear constitutive model has gained some successful applications in shock wave structure [22,24], micro-Couette flow [26], etc. In this paper, a significant objective is to extend this diatomic model into stable and efficient computation of high-speed flows past some three-dimensional complex configurations by utilizing our coupled solver.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical simulation of three-dimensional high-speed flows using a second-order nonlinear model

Jiang¹,

Chen²,

Zhao³

2017

21st AIAA International Space Planes and Hypersonics Technologies Conference

Self Cite

View full text Add to dashboard Cite

The linear Navier-Stokes-Fourier (NSF) constitutive relations are capable of simulating the near-continuum flows, but fail in description of those flows which are removed far away from local equilibrium. In this paper, a diatomic nonlinear model named as nonlinear coupled constitutive relations (NCCR), derived from Eu's generalized hydrodynamics and proposed by Myong, is presented as an alternative for simulating these hypersonic gas flows with a goal of recovering NSF's solutions in continuum regime and being superior in transition regime. To guarantee stable computation, a reliable and efficient coupled algorithm is proposed for this diatomic nonlinear constitutive model. Constitutive-curve analysis is carried out in detail to compare this coupled algorithm with Myong's previous algorithm. Local flow regions are investigated carefully in these hypersonic flows past a cone tip, a hollow cylinder-flare and a HTV-type vehicle. The convergent solutions of NCCR model are compared with NSF, DSMC calculations and experiment. It is demonstrated that the NCCR model works as efficiently as the NSF model in continuum regime, but more accurately compared with DSMC and experiment than NSF in non-equilibrium flows. The discrepancies of flow-field and surface parameters, imply a potential for remedying NSF's deficiency in local non-equilibrium regions.c c c

show abstract

Section: The Diatomic Nonlinear Constitutive Modelmentioning

confidence: 62%

Section: Resultsmentioning

confidence: 99%

Numerical simulation of three-dimensional high-speed flows using a second-order nonlinear model

Jiang¹,

Chen²,

Zhao³

2017

21st AIAA International Space Planes and Hypersonics Technologies Conference

Self Cite

View full text Add to dashboard Cite

show abstract

Numerical analysis of the micro-Couette flow using a non-Newton–Fourier model with enhanced wall boundary conditions

Jiang

Chen

Zhao

2017

Microfluid Nanofluid

View full text Add to dashboard Cite

Multiple temperature model of nonlinear coupled constitutive relations for hypersonic diatomic gas flows

et al. 2020

View full text Add to dashboard Cite

The rotational energy of diatomic gases would be activated by the process of intermolecular collisions in high-temperature hypersonic flows. In this paper, a multi-temperature nonlinear coupled constitutive model has been proposed for simulating the transfer of energy between translational and rotational motions in hypersonic non-equilibrium flows. In this model, the nonlinear coupled constitutive equations are modified by introducing a rotational energy relaxation model and a changeable viscosity ratio related to local temperature. To confirm its accuracy, the new model is applied to investigate steady shock wave structures and high-speed gas flows around a cylinder and across a flat plate. The computational results are compared with the multi-temperature Navier–Stokes (NS) equations, the direct simulation Monte Carlo (DSMC) solutions, and the experiment data. The final results show the new model would reproduce the NS results at low Knudsen numbers but behave quite differently from the NS results as the non-equilibrium degree is enhanced. The new model is in better agreement with the DSMC solutions and the experimental data than the NS solutions in the far-from-equilibrium regions, which demonstrates the potential of the new relaxation model in the simulation of hypersonic non-equilibrium flows.

show abstract

Computation of 1-D shock structure using nonlinear coupled constitutive relations and generalized hydrodynamic equations

Cited by 3 publications

References 17 publications

Numerical simulation of three-dimensional high-speed flows using a second-order nonlinear model

Numerical simulation of three-dimensional high-speed flows using a second-order nonlinear model

Numerical analysis of the micro-Couette flow using a non-Newton–Fourier model with enhanced wall boundary conditions

Multiple temperature model of nonlinear coupled constitutive relations for hypersonic diatomic gas flows

Contact Info

Product

Resources

About